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Translating to the centre turns x² + 4y² - 2x + 8y + 1 = 0 into
Ax'² + y'² = 4
B4x'² + y'² = 4
Cx'² + 4y'² = 4
Dx'² + 4y'² = 1
Answer & Solution
Correct answer: C. x'² + 4y'² = 4
(x - 1)² + 4(y + 1)² = 4 after completing squares, so x'² + 4y'² = 4.
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